document.write( "Question 1179670: The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1). \r
\n" ); document.write( "\n" ); document.write( "Find the equation of the perpendicular bisector of the side QR. \r
\n" ); document.write( "\n" ); document.write( "Find the slope of the median of the triangle that passes through point R. \r
\n" ); document.write( "\n" ); document.write( "Find the slope of the altitude of the triangle that passes through point Q. \n" ); document.write( "

Algebra.Com's Answer #809255 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Instead of doing it for you, I will do one exactly like it step-by-step.\r\n" );
document.write( "Use it as a model to solve yours by. Here are the points I'll use instead:

\n" ); document.write( "The vertices of a triangle are P(-8,3), Q(-4,-7) and R(10,3). \r
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\n" ); document.write( "Find the equation of the perpendicular bisector of the side QR.

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document.write( "That's the green line.\r\n" );
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document.write( "First we find the slope of QR using the slope formula:\r\n" );
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document.write( "The perpendicular bisector is perpendicular, and the slope of any line\r\n" );
document.write( "perpendicular to a line with a known slope is found by:\r\n" );
document.write( "1. taking the reciprocal of that known slope.\r\n" );
document.write( "2. giving it the opposite sign.\r\n" );
document.write( "So the slope of the green perpendicular bisector is \r\n" );
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document.write( "Since it bisects QR we find the midpoint of QR:\r\n" );
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document.write( "To find the equation of the line we use the point-slope formula:\r\n" );
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Find the slope of the median of the triangle that passes through point R.

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document.write( "That's the blue line, Which is the line from R to the midpoint of PQ\r\n" );
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document.write( "We use the slope formula to find the slope of the line from that point to R.\r\n" );
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\n" ); document.write( "Find the slope of the altitude of the triangle that passes through point Q.

That's the red line. (Watch out! This is a trick question!)\r\n" );
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document.write( "Since PR is a horizontal line, the altitude from Q to that line PR is\r\n" );
document.write( "perpendicular to it, which means that it is vertical.  A vertical line has\r\n" );
document.write( "no slope, or sometimes we say the slope is not defined.\r\n" );
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document.write( "Now do your problem exactly the same way using your given points.\r\n" );
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document.write( "Edwin

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